Answer:
x = 1/5(k-14)
Step-by-step explanation:
5x + 14 = k
Subtract 14 from each side
5x+14-14 = k-14
5x = k-14
Divide by 5
5x/5 = 1/5(k-14)
x = 1/5(k-14)
12 x 6s - 8 x 4s = 72s - 32s = 40s
The formula is P=Poe^rt and after 20 years the amount will be $14134.41
For Lyla, the formula used to solve the problem is P=Poe^rt
The function is P=3000 e^0.775t
After 20 years lyla amount will be P=3000e^0.775×20=14134.41$
- The exponential function is a type of mathematical function which are helpful in finding the growth or decay of population, money, price, etc that are growing or decay exponentially.
- Exponents are used in exponential functions, as the name indicates. But take note that an exponential function does not have a constant as its base and a variable as its exponent (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
- As the name implies, exponential functions employ exponents. The base and exponent of an exponential function, however, are not a constant and a variable, respectively (if a function has a variable as the base and a constant).
To learn more about exponential functions visit
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Answer:
15. 50 kg
16a. 5 kg
16b. 3.75 kg
Step-by-step explanation:
The formula relating force, mass, and acceleration can be solved for mass. This formula will apply to both problems. We'll use m for both "mass" and "meters". We presume you can avoid getting mixed up by understanding that meters is used in the context of acceleration: m/s².
F = ma
m = F/a . . . . . divide by a
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15. m = (250 N)/(5 m/s²) = 50 kg
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16a. m = (15 N)/(3 m/s²) = 5 kg
16b. m = (15 N)/(4 m/s²) = 3.75 kg
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<em>Comment on units</em>
Especially for physics problems, I like to keep the units with the numbers. It is helpful to remember that Newtons are equivalent to kg·m/s². So, dividing Newtons by acceleration in m/s² will give mass in kg. Since you're familiar with F=ma, it's not too hard to remember that the units of force (N) are the product of the units of mass (kg) and acceleration (m/s²).
Answer:
t = 640
Step-by-step explanation:
tickets are directly proportional to number of hours.
t =kh
we find K.
240 = 3k
we divide by 3 in both sides.
k = 80
we substitute K to find how many tickets.
t =80 × 8
t = 640
it doesn't matter if you chose any two, e.g., you would get the same answer even if you used 5 and 400, or 9 and 720
